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Finding the Fourth Proportional to 22.76, 31.40 and 14.56

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Solution

The fourth proportional to 22.76, 31.40 and 14.56 is: 20.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.76 : 31.40 = 14.56 : x
  2. Step 2: Convert to fraction form
    22.76/31.40 = 14.56/x
  3. Step 3: Cross multiply
    22.76x = 31.40 × 14.56
  4. Step 4: Simplify right side
    22.76x = 457.18
  5. Step 5: Solve for x
    x = 457.18/22.76
  6. Step 6: Final answer
    x = 20.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.